Spin chains with boundary inhomogeneities

Abstract

We investigate the effect of introducing a boundary inhomogeneity in the transfer matrix of an integrable open quantum spin chain. We find that it is possible to construct a local Hamiltonian, and to have quantum group symmetry. The boundary inhomogeneity has a profound effect on the Bethe ansatz solution.

arXiv comment15 pages; v2: minor changes, version accepted in JHEP

References in corpus (18)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Partially Asymmetric Exclusion Process with Open Boundaries
• Addendum to ``Integrability of Open Spin Chains with Quantum Algebra Symmetry''
• Correlation functions of the open XXZ chain I
• LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
• The antiferromagnetic transition for the square-lattice Potts model
• An integrable spin chain for the SL(2,R)/U(1) black hole sigma model
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Solutions of the reflection equation for face and vertex models associated with $A_n^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)}$ and $A_n^{(2)}$
• The Staggered Six-Vertex Model: Conformal Invariance and Corrections to Scaling
• Scaling limit of the ${\mathcal{Z}}_2$ invariant inhomogeneous six-vertex model
• Non-Linear Integral Equations for the SL(2,R)/U(1) black hole sigma model
• On the scaling behaviour of the alternating spin chain
• Lattice regularisation of a non-compact boundary conformal field theory
• Surveying the quantum group symmetries of integrable open spin chains
• B_{n}^{(1)} and A_{2n}^{(2)}reflection K-matrices
• The spectrum of quantum-group-invariant transfer matrices
• Quantum group symmetries and completeness for A_{2n}^(2) open spin chains

Cited by in corpus (2)

• Integrable boundary conditions for staggered vertex models
• Lifting integrable models and long-range interactions